311393941120 has 64 divisors (see below), whose sum is σ = 744940702440. Its totient is φ = 124471480320.

The previous prime is 311393941109. The next prime is 311393941153. The reversal of 311393941120 is 21149393113.

It can be written as a sum of positive squares in 4 ways, for example, as 302913741376 + 8480199744 = 550376^2 + 92088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 311393941120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762490 + ... + 1097350.

Almost surely, 2^311393941120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311393941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372470351220).

311393941120 is an abundant number, since it is smaller than the sum of its proper divisors (433546761320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311393941120 is a wasteful number, since it uses less digits than its factorization.

311393941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336333 (or 336321 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 311393941120 in words is "three hundred eleven billion, three hundred ninety-three million, nine hundred forty-one thousand, one hundred twenty".